Answer:
Empty space in the cane is 17.94 cubic inch.
Step-by-step explanation:
We know can of soda is in cylindrical shape so we will apply the formula to determine the volume of cane(cylinder).
Volume of a cylinder
[tex]V=\pi r^{2}h[/tex] where V is volume,r is radius of the base and h is the height of cylinder.
From the question r=2.6(diameter)/2=1.3 inches
h=4.83 inches
Then we put these values in the formula
[tex]V=\pi (1.3)^24.83[/tex]
[tex]V=\pi (1.69)(4.83)[/tex]
[tex]V=(3.14)(1.69)(4.83)[/tex]
[tex]V=25.63 inch^{3}[/tex]
Can is 30% filled then we have to calculate the empty space that is 70% of the total volume V.
[tex]Empty space =25.63(\frac{70}{100})[/tex]
=17.94 cubic inch.
